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Finding the Fourth Proportional to 1,026.99, 1,415.52 and 778.23

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Solution

The fourth proportional to 1,026.99, 1,415.52 and 778.23 is: 1,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.99 : 1,415.52 = 778.23 : x
  2. Step 2: Convert to fraction form
    1,026.99/1,415.52 = 778.23/x
  3. Step 3: Cross multiply
    1,026.99x = 1,415.52 × 778.23
  4. Step 4: Simplify right side
    1,026.99x = 1,101,600.13
  5. Step 5: Solve for x
    x = 1,101,600.13/1,026.99
  6. Step 6: Final answer
    x = 1,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.